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THE ANALYTIC SMOOTHING EFFECT OF LINEAR LANDAU EQUATION WITH SOFT POTENTIALS

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摘要 In this work,we study the linearized Landau equation with soft potentials and show that the smooth solution to the Cauchy problem with initial datum in L^(2)(ℝ^(3))enjoys an analytic regularization effect,and that the evolution of the analytic radius is the same as the heat equations.
作者 李浩光 徐超江 Haoguang LI;Chaojiang XU(School of Mathematics and Statistics,South-Central Minzu University,Wuhan 430074,China;Key Laboratory of Mathematical Modelling and High Performance Computing of Air Vehicles,MIIT,Nanjing 210016,China;School of Mathematics and Key Laboratory of Mathematical MIIT,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China)
出处 《Acta Mathematica Scientia》 SCIE CSCD 2023年第6期2597-2614,共18页 数学物理学报(B辑英文版)
基金 supported by the Natural Science Foundation of Hubei Province,China (2022CFB444) the Key Laboratory of Mathematical Modelling and High Performance Computing of Air Vehicles (NUAA) supported by the NSFC (12031006) the Fundamental Research Funds for the Central Universities of China.
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